Critic’s picks: Television

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SUNDAY

BILLBOARD MUSIC AWARDS 8 p.m., ABC
Tracy Morgan hosts the . . . wait, I’m in. I’d watch the guy read the telephone-book website. This annual Billboard event will feature awards-show glom-ons Justin Bieber and Taylor Swift, as well as Bruno Mars, Miguel, and Pitbull. Prince, the artist formerly known as an icon, will be presented with the Icon Award.

MONDAY

AMERICAN MASTERS 9 p.m., PBS, Channel 2
Mel Brooks is an EGOT winner, which means “‘e got game,” as they might say in England. It also means he has taken home an Emmy, a Grammy, an Oscar, and a Tony, which has to qualify him as a comedy giant. According to PBS, he has had a gag order on his friends about talking to the press — until, that is, he agreed to make this documentary, called “Mel Brooks: Make a Noise.” Contrary to rumors, he is 86 and not 2,000.

TUESDAY

INSIDE AMY SCHUMER 10:30 p.m., Comedy Central
Schumer (above) has a Kewpie Doll face, but her comedy is adult, cringy, raunchy, and, often, smart. In that way, she’s a Sarah Silverman baby. Her show, a mixture of sketches and stand-up, turns mostly on gender humor. In one bit, we watch women at a male version of Hooters called O’Nutters, where the waiters’ outfits show off their assets. The sketches are stronger than the performance riffs; when they connect, they fly out of the park.

WEDNESDAY

NASHVILLE 10 p.m., ABC
I wasn’t sure this melodrama, mixed with original country songs, would find its way. Many musical TV shows, including “Smash” and “Glee,” have disappointed. But “Nashville” has been consistently entertaining, a soap with a bit of character depth. This episode is the season finale.

THURSDAY

SAVE ME 8 p.m., NBC
It’s hard to understand why a network would premiere a new sitcom in the lull before Memorial Day. In “Save Me,” Anne Heche plays a woman who, after almost choking to death on a sandwich, becomes a pipeline to God. OK, now it’s not so hard to understand.

FRIDAY

MARON 10 p.m., IFC
Marc Maron is yet another male comic who can’t quite cope. But he has created a decent show around his hapless, neurotic identity. The episodes, in which Maron plays a version of himself, revolve around the making of his podcast “WTF” in his garage in LA. Lots of comics and actors show up as guests, including, in this week’s episode, Illeana Douglas. The title of the half-hour: “Dominatrix.”